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Finding the Fourth Proportional to 5,139.18, 7,708.65 and 2,946.30

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Solution

The fourth proportional to 5,139.18, 7,708.65 and 2,946.30 is: 4,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.18 : 7,708.65 = 2,946.30 : x
  2. Step 2: Convert to fraction form
    5,139.18/7,708.65 = 2,946.30/x
  3. Step 3: Cross multiply
    5,139.18x = 7,708.65 × 2,946.30
  4. Step 4: Simplify right side
    5,139.18x = 22,711,995.50
  5. Step 5: Solve for x
    x = 22,711,995.50/5,139.18
  6. Step 6: Final answer
    x = 4,419.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.